You are given the binary number $$10011$$ . Explain the steps to convert it to decimal and find the answer.

$$1 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 19$$

A student claims that the binary number $$1101$$ is equal to decimal 14. Is the student correct? Justify your answer.

No, because $$1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 13$$

Given the binary number $$10110$$ , explain how you would convert it to decimal and state the answer.

$$1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 22$$

A binary number is $$1111$$ . If you add 1 to it, what is the new binary number and its decimal equivalent?

$$10000$$ , decimal 16, because $$1111$$ is 15 and adding 1 gives 16

Binary Numbers Flashcard Fun! Flashcards

Student preview

22 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the base of the binary number system?

Back

2

2.

FLASHCARD QUESTION

Front

Which digits are used in the binary number system?

Back

0 and 1

3.

FLASHCARD QUESTION

Front

What is the binary equivalent of the decimal number 2?

Back

10

4.

FLASHCARD QUESTION

Front

How many bits are there in the binary number 1011?

Back

4

5.

FLASHCARD QUESTION

Front

What is the decimal value of the binary number 1?

Back

1

6.

FLASHCARD QUESTION

Front

Which of the following is a valid binary number? 1101, 1234, 1021, 2100

Back

1101

7.

FLASHCARD QUESTION

Front

Back

5

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