You specified that your number is in the additional code. For further conversion, you need to get a direct number code. Therefore, let\'s perform the conversion from additional code to direct code.
to do this, first perform the conversion from the additional code to the reverse by subtracting 1 bit, then get the direct code by inverting all the bits except the signed one.
| | | | | | | | | | | | | | | . | | |
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | twos-complement |
| | | | | | | | | | | | | | - | 1 | -1 bit |
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | ones complement |
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | direct code |
got It:1101011001001110
let\'s translate to decimal like this:
1∙215+1∙214+0∙213+1∙212+0∙211+1∙210+1∙29+0∙28+0∙27+1∙26+0∙25+0∙24+1∙23+1∙22+1∙21+0∙20 = 1∙32768+1∙16384+0∙8192+1∙4096+0∙2048+1∙1024+1∙512+0∙256+0∙128+1∙64+0∙32+0∙16+1∙8+1∙4+1∙2+0∙1 = 32768+16384+0+4096+0+1024+512+0+0+64+0+0+8+4+2+0 = 5486210
got It: 11010110010011102 =5486210
let\'s translate from decimal to binary decimal (BCD) like this:
5486210 = 5 4 8 6 2 = 5(=0101) 4(=0100) 8(=1000) 6(=0110) 2(=0010) = 1010100100001100010BCD
the Final answer: 00101001101100102 = 1010100100001100010BCD