Computers and Technology, 28.05.2021 02:50 mduncan840

Convert the following decimal numbers into (a) binary and (b) hexadecimal forms. a. 25 b. 250c. 2500 d. 25555

Answers: 3

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Answer from: kkruvc

Binary :

11001 base 2

11111010 base 2

100111000100 base 2

110001111010011 base 2

Hexadecimal:

19 base 16

FA base 16

9C4 base 16

63D3 base 16

Explanation:

For hexadecimal :

10 = A

11 = B

12 = C

13 = D

14 = E

15 = F

1.)

25 decimal :

To binary : ; Divide 25 by 2, for each division, the remainder is the binary value :

Divide by 2 _ Quotient __ binary value

25 ÷ 2 12 1

12 ÷ 2 6 0

6 ÷ 2 3 0

3 ÷ 2 1 1

1 ÷ 2 0 1

From bottom to top : 11001 base 2

25 decimal To hexadecimal

Divide by 16 _ Quotient __ hexadecimal value

25 ÷ 16 1 9

1 ÷ 16 0 1

25 base 10 = 19 base 16

2.)

250 decimal to binary :

Divide by 2 _ Quotient __ binary value

250 ÷ 2 125 0

125 ÷ 2 62 1

62 ÷ 2 31 0

31 ÷ 2 15 1

15 ÷ 2 7 1

7 ÷ 2 3 1

3 ÷ 2 1 1

1 ÷ 2 0 1

250 base 10 = 11111010 base 2

250 base 10 to base 16:

Divide by 16 _ Quotient __ hexadecimal value

250 ÷ 16 15 10

15 ÷ 16 0 15

250 base 10 = FA base 16

3.)

2500 decimal to binary :

Divide by 2 _ Quotient __ binary value

2500 ÷ 2 1250 0

1250 ÷ 2 625 0

625 ÷ 2 312 1

312 ÷ 2 156 0

156 ÷ 2 78 0

78 ÷ 2 39 0

39 ÷ 2 19 1

19 ÷ 2 9 1

9 ÷ 2 4 1

4 ÷ 2 2 0

2 ÷ 2 1 0

1 ÷ 2 0 1

2500 decimal = 100111000100 base 2

2500 base 10 to hexadecimal :

Divide by 16 _ Quotient __ hexadecimal value

2500 ÷ 16 156 4

156 ÷ 16 9 12

9 ÷ 16 0 9

2500 base 10 = 9C4 base 16

4.)

25555 base ten to base 2 :

Divide by 2 _ Quotient __ binary value

25555 ÷ 2 12777 1

12777 ÷ 2 6388 1

6388 ÷ 2 3194 0

3194 ÷ 2 1597 0

1597 ÷ 2 798 1

798 ÷ 2 399 0

399 ÷ 2 199 1

199 ÷ 2 99 1

99 ÷ 2 49 1

49 ÷ 2 24 1

24 ÷ 2 120

12 ÷ 2 6 0

6 ÷ 2 3 0

3 ÷2 1 1

1 ÷ 2 0 1

25555 base 10 = 110001111010011 base 2

25555 base 10 to hexadecimal :

Divide by 16 _ Quotient __ hexadecimal value

25555 ÷ 16 __ 1597 3

1597 ÷ 16 99 13

99 ÷ 16 6 3

6 ÷ 16 0 6

25555 base 10 = 63D3 base 16

Answer from: Quest

You have to write your reactions like what you agree and disagree with

Answer from: Quest

No because to small needs to be bigger

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Convert the following decimal numbers into (a) binary and (b) hexadecimal forms. a. 25 b. 250c. 2500...