A) Convert decimal 42 to hexadecimal. B) Convert decimal 1025 to binary. (do not

Question

A) Convert decimal 42 to hexadecimal.

B) Convert decimal 1025 to binary. (do not put any spaces in the number)

C) Convert decimal 42 to octal.

D) Convert hexadecimal AA to binary. (put no spaces in your answer!)

E) Convert binary 1111101011001110 to hexadecimal. (Put no spaces in your answer. The answer spells an English word!) Use all CAPITAL letters.

F) Convert binary 011110101 to octal.

G) Convert binary 011110101 to hexadecimal. (put no spaces in your answer!)

H) Convert decimal 9 to octal.

I) Convert octal 99 to decimal.

K) Convert decimal 3501 to hexadecimal. (Put no spaces in your answer. The answer spells an English word!) Use all CAPITAL letters.

Explanation / Answer

Answer:

A) ( 42 ) base 10 = ( 2A ) base 16

B) 1025

Convert to binary :

The number 1025 can be expressed as:
1024 + 1
So, the answer is: 10000000001 .

C)

42 = 4 x 8^1 + 2 x 8^0 = 32 + 2 = ( 34 ) base 8

D)

AA to Binary :

Convert AA from hexadecimal to binary.

Answer:

( AA )16 = ( 10101010 )2

Explanation

To convert a value from hexadecimal to binary, you translate each hexadecimal digit into its 4-bit binary equivalent as in the chart below.

In this example we have:

E)

Convert 1111101011001110 from binary to hexadecimal.

Answer:

( 1111101011001110 )2 = ( FACE )16

Explanation

Step 1:

Break the binary number into 'quartets'. In this example we have:

1111101011001110 = 1111 1010 1100 1110

Step 2:

Use the table below to covert each quartet to its Hex equivalent.

In this example we have:

F)

011110101 to octal

011 110 101 = ( 365) base 8

G)

Convert 11110101 from binary to hexadecimal.

Answer:

( 11110101 )2 = ( F5 )16

Explanation

Step 1:

Break the binary number into 'quartets'. In this example we have:

11110101 = 1111 0101

Step 2:

Use the table below to covert each quartet to its Hex equivalent.

In this example we have:

H)

9 to octal

9 x 8^0 = (9) base 8

I) Convert 99 to decimal

99 is not in octal

K)

Convert 3501 from decimal to hexadecimal.

Answer:

( 3501 )10 = ( DAD )16

Explanation

Step 1:

Continually divide decimal number by 16 to give a result and a remainder. Write down the remainder (in hexadecimal).

In this example we have:

0 1 2 3 4 5 6 7 8 9 A B C D E F 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.