Question

Convert the decimal -1234 to16-bit binary and 4-digit hexadecimal

Answer 1

1234 in binary:
---------------
1234   /  2  result 617    remainder  0
617    /  2  result 308    remainder  1
308    /  2  result 154    remainder  0
154    /  2  result 77 remainder  0
77 /  2  result 38 remainder  1
38 /  2  result 19 remainder  0
19 /  2  result 9  remainder  1
9  /  2  result 4  remainder  1
4  /  2  result 2  remainder  0
2  /  2  result 1  remainder  0
1  /  2  result 0  remainder  1
Read the remainders from bottom to top.
( 1234 )10 = ( 10011010010 )2
1234 in 16-bit decimal is 0000010011010010

-1234 in binary:
-----------------
Ones complement = Invert bits in binary of 1234 = 1111101100101101
Twos complement = Ones complement + 1 = 1111101100101101 + 1 = 1111101100101110
Answer:
1111101100101110

-1234 in hexa decimal:
-----------------------
HexaDecimal    Binary  
0              0000
1              0001
2              0010
3              0011
4              0100
5              0101
6              0110
7              0111
8              1000
9              1001
A              1010
B              1011
C              1100
D              1101
E              1110
F              1111
So, -1234 in hexa decimal is FB2E
Answer:
FB2E

Answer:

1111101100101110 (In binary)
FB2E (In hexa decimal)