| Cover | Jun. 24, 2024 |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Jun. 24, 2024 |
| Entity File Number | 001-41171 |
| Entity Registrant Name | Ault Disruptive Technologies Corporation |
| Entity Central Index Key | 0001864032 |
| Entity Tax Identification Number | 86-2279256 |
| Entity Incorporation, State or Country Code | DE |
| Entity Address, Address Line One | 11411 Southern Highlands Parkway |
| Entity Address, Address Line Two | Suite 240 |
| Entity Address, City or Town | Las Vegas |
| Entity Address, State or Province | NV |
| Entity Address, Postal Zip Code | 89141 |
| City Area Code | (949) |
| Local Phone Number | 444-5464 |
| Written Communications | true |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Elected Not To Use the Extended Transition Period | false |
| Units, each consisting of one share of Common Stock, par value $0.001 per share and three-fourths of one Redeemable Warrant to purchase one share of Common Stock | |
| Title of 12(b) Security | Units, each consisting of one share of Common Stock, par value $0.001 per share |
| Trading Symbol | ADRTU |
| Security Exchange Name | NYSE |
| Common Stock, par value $0.001 per share | |
| Title of 12(b) Security | Common Stock, par value $0.001 per share |
| Trading Symbol | ADRT |
| Security Exchange Name | NYSE |
