Binary Numbers Quiz

Write the binary number 101 as a decimal number.

Answer explanation

To convert the binary number 101 to decimal, we use the formula: (1 * 2^2) + (0 * 2^1) + (1 * 2^0) = 4 + 0 + 1 = 5. Therefore, the binary number 101 is equal to the decimal number 5.

Write the binary number 1100 in decimal form.

Answer explanation

To convert the binary number 1100 to decimal, we use the formula: (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (0 * 2^0) = 8 + 4 + 0 + 0 = 12. Therefore, the binary number 1100 in decimal form is 12.

Write the binary number 1010 as a decimal number.

Answer explanation

To convert the binary number 1010 to decimal, we use the formula: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 8 + 0 + 2 + 0 = 10. Therefore, the binary number 1010 is equivalent to the decimal number 10.

Write the binary number 1011 in decimal form.

Answer explanation

To convert the binary number 1011 to decimal, we use the formula: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0) = 8 + 0 + 2 + 1 = 11. Therefore, the binary number 1011 is equal to 11 in decimal form.

Write the decimal number 14 as a binary number.

Answer explanation

To convert decimal 14 to binary, repeatedly divide by 2 and note remainders. 14 divided by 2 is 7 with a remainder of 0. 7 divided by 2 is 3 with a remainder of 1. 3 divided by 2 is 1 with a remainder of 1. 1 divided by 2 is 0 with a remainder of 1. Reading remainders from bottom to top gives 1110, so 14 in binary is 1110.

Write the decimal number 4 as a binary number.

Answer explanation

To convert decimal 4 to binary, divide by 2 repeatedly: 4 / 2 = 2 remainder 0, 2 / 2 = 1 remainder 0, 1 / 2 = 0 remainder 1. Reading remainders from bottom to top, the binary representation is 100.

Write 9 as a binary number.

Answer explanation

To write 9 as a binary number, we divide 9 by 2 repeatedly and note the remainders. Starting from the bottom, the remainders are 1, 0, 0, 1. Reading these remainders from bottom to top gives the binary representation of 9, which is 1001.

Write 13 as a binary number.

Answer explanation

To write 13 as a binary number, we divide 13 by 2 repeatedly and note the remainders. Starting from the bottom, the remainders are 1, 0, 1, 1. Reading these remainders from bottom to top gives the binary representation of 13 as 1101.

Write the binary number 11010 as a decimal number.

Answer explanation

To convert the binary number 11010 to decimal, we use the formula: (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 16 + 8 + 0 + 2 + 0 = 26. Therefore, the decimal equivalent of 11010 is 26.

Write the binary number 101111 as a decimal number.

Answer explanation

To convert the binary number 101111 to decimal, we use the formula: (1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (1 * 2^2) + (1 * 2^1) + (1 * 2^0) = 32 + 0 + 8 + 4 + 2 + 1 = 47. Therefore, the decimal equivalent of 101111 is 47.